Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Padovan string, c program to count the number of occurances of the string i...

c program to count the number of occurances of the string in padovan''s string

Procedure-oriented programming, E v o l u t i o n of Software: ...

E v o l u t i o n of Software: In the past stage of programming the software's were developed in Machine language Using binary numbers 1's and 0's.  Later it convert

Wap to calculate total marks and percentage of 3 subjects, WAP TO ACCEPT MA...

WAP TO ACCEPT MARKS OF THREE SUBJECT FOR STUDENT & CALCULATE TOTAL MARKS AND PERCENTAGE #include stdio.h> #include conio.h>   void main() {            int M1,M

What happens if you make call "delete this;"?, The code contains two built-...

The code contains two built-in pitfalls. First one, if it executes in a member function for an static, extern or automatic object, the program will possibly crash as soon as the de

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Program to create a class and store student information, Develop a Student ...

Develop a Student class that has the following header file: #ifndef STUDENT_H #define STUDENT_H #include #include #include using namespace std; class Stu

Program to open a file in c++, Program to Open a file in C++: int main...

Program to Open a file in C++: int main() {                  char ch;                  ifstream f1 ("OLDFILE.TXT");                  ofstream f2 ("NEWFILE.TXT");

CarDealership, ABC Car Dealership needs your help to update the ordering sy...

ABC Car Dealership needs your help to update the ordering system. This car dealer is selling four types of vehicles: Sedan, Truck, SUV, and mini Van. And each type of vehicle can h

Crossoword puzzle, find wether specific word is inside a pool of word and w...

find wether specific word is inside a pool of word and what is the direction e.g. north

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd